101112240 has 80 divisors (see below), whose sum is σ = 314417376. Its totient is φ = 26880000.

The previous prime is 101112233. The next prime is 101112247. The reversal of 101112240 is 42211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101112233) and next prime (101112247).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101112247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143890 + ... + 144590.

Almost surely, 2^101112240 is an apocalyptic number.

101112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157208688).

101112240 is an abundant number, since it is smaller than the sum of its proper divisors (213305136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101112240 is a wasteful number, since it uses less digits than its factorization.

101112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101112240 is about 10055.4582192956. The cubic root of 101112240 is about 465.8733960749.

Adding to 101112240 its reverse (42211101), we get a palindrome (143323341).

The spelling of 101112240 in words is "one hundred one million, one hundred twelve thousand, two hundred forty".